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Simplifying (2x + -2) + -1(45 + x) = 0 Reorder the terms: (-2 + 2x) + -1(45 + x) = 0 Remove parenthesis around (-2 + 2x) -2 + 2x + -1(45 + x) = 0 -2 + 2x + (45 * -1 + x * -1) = 0 -2 + 2x + (-45 + -1x) = 0 Reorder the terms: -2 + -45 + 2x + -1x = 0 Combine like terms: -2 + -45 = -47 -47 + 2x + -1x = 0 Combine like terms: 2x + -1x = 1x -47 + 1x = 0 Solving -47 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 1x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = 0 + 47 1x = 0 + 47 Combine like terms: 0 + 47 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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